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Frequency identification of Hammerstein-Wiener systems with backlash input nonlinearity

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  • Control Theory and Applications
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Abstract

The problem of system identification is addressed for Hammerstein-Wiener systems that involve memory operator of backlash type bordered by straight lines as input nonlinearity. The system identification of this model is investigated by using easily generated excitation signals. Moreover, the prior knowledge of the nonlinearity type, being backlash or backlash-inverse, is not required. The nonlinear dynamics and the unknown structure of the linear subsystem lead to a highly nonlinear identification problem. Presently, the output nonlinearity may be noninvertible and the linear subsystem may be nonparametric. Interestingly, the system nonlinearities are identified first using a piecewise constant signal. In turn, the linear subsystem is identified using a frequency approach.

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Correspondence to Adil Brouri.

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Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Hyun-Seok Yang.

Adil Brouri In 2000, he obtained the Aggregation of Electrical Engineering and, in 2012, he obtained a Ph.D. in Automatic Control from the University of Mohammed 5, Morocco. He has been Professeur-Agrégé for several years. Since 2013 he joined the ENSAM (Higher National School of Arts and Trades), My Ismail University in Meknes-Morocco. He obtained his HDR degree in 2015 at the ENSAM-Meknes (My Ismail University). His research interests include nonlinear system identification and nonlinear control. He published several papers on these topics. Prof. Adil BROURI joined the research team “IMSM” (Multidisciplinary Engineering and Mechatronics Systems) and the L2MC (Mechanical, Mechatronics and Control) Laboratory as a permanent member.

Laila KADI he is currently completing his PhD in control of nonlinear systems under the supervision of Professor Adil Brouri, ENSAM, Moulay Ismail University.

Smail Slassi he is currently completing his PhD under the supervision of Professor Adil Brouri, ENSAM.

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Brouri, A., Kadi, L. & Slassi, S. Frequency identification of Hammerstein-Wiener systems with backlash input nonlinearity. Int. J. Control Autom. Syst. 15, 2222–2232 (2017). https://doi.org/10.1007/s12555-016-0312-3

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  • DOI: https://doi.org/10.1007/s12555-016-0312-3

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